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Goryan [66]
2 years ago
8

Simplify 4sqrt6/sqrt30 by rationalizing the denominator

Mathematics
1 answer:
andreev551 [17]2 years ago
8 0
4sqrt5/5

see the attachment

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Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.
Trava [24]

Answer:

A

Step-by-step explanation:

We are given:

\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

o=\sqrt{13^2-12^2}=\sqrt{25}=5

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

\displaystyle \csc(\theta)=\frac{13}{5}

Since θ is in QIII, cosecant must be negative:

\displaystyle \csc(\theta)=-\frac{13}{5}

Our answer is A.

7 0
2 years ago
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4. Numbers those only<br>factors<br>one and itselt are called​
katovenus [111]

Answer:

Prime numbes

Step-by-step explanation:

Numbers whose only factors are 1 and itself are called prime numbers.

Such numbers have only two factors.

Examples are: 2, 3, 5, 7 ,9... etc.

3 0
2 years ago
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siniylev [52]

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Answer:

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Step-by-step explanation:

The garden is 4 yards = 12 feet by 3 yards = 9 feet. The area of it is the product of these dimensions, ...

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The cost of fertilizer for that area will be ...

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They will spend $81.00 to fertilize the garden.

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bazaltina [42]

Answer:

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Step-by-step explanation:

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Afina-wow [57]

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30

Step-by-step explanation:

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